3. Suppose that a company ships packages that are variable in weight, with an average weight of 15 lb and a standard deviation of 10 lb. Assuming that packages come from a large number of different customers so that it is reasonable to model their weights as independent random variables, nd the probability that 100 packages will have a total weight exceeding 17001b. (From Rice' book, page 190). 4. Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the probability that you will lose more than $75. (page 189, Rice's book)